- Tytuł:
- Left-covariant differential calculi on $SL_{q}(N)$
- Autorzy:
-
Schmüdgen, Konrad
Schüler, Axel - Powiązania:
- https://bibliotekanauki.pl/articles/1342724.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
quantum Lie algebra
noncommutative differential calculus - Opis:
- We study $N^{2} - 1$ dimensional left-covariant differential calculi on the quantum group $SL_q(N)$. In this way we obtain four classes of differential calculi which are algebraically much simpler as the bicovariant calculi. The algebra generated by the left-invariant vector fields has only quadratic-linear relations and posesses a Poincaré-Birkhoff-Witt basis. We use the concept of universal (higher order) differential calculus associated with a given left-covariant first order differential calculus. It turns out that the space of left-invariant k-forms has the dimension $N^{2} - 1\choose k$ as in the case of the corresponding classical Lie group SL(N).
- Źródło:
-
Banach Center Publications; 1997, 40, 1; 185-191
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł